There are Two Football Teams X and Y.

Question: There are two football teams X and Y. X has never lost a match on its home ground when Jessi has played for the team, whereas Y has not lost any of its matches on its home ground.

Which of the first four choices given below can not be true about the last match played between the two teams? If all can be true, choose E.

1. If X did not win the match and Jessi played that match, the match was played at the home ground of X.
2. If Y lost the match and Jessi did not play, the match could not have been played at the home ground of X.
3. If the match was played at the home grounds of Y and Jessi played the match, X did not lose the match.
4. X lost the match but the match was not played at the home ground of Y.
5. All of the above can be true.

Answer: E

Explanation: This is a GMAT critical reasoning question. We have to find the option that can not be true about the last match played between X and Y.

Let’s go through each of the available options and choose the most suitable one.

Option A: If X did not win the match and Jessi played that match, the match was played at the home ground of X.
According to Option A, in case X didn’t win the match and Jessi played the same, that match was played at the home ground of X. We are given in the above passage that X did not win the match when X played the match with Jessi in the team on their home ground. So, yes, B can be true.

Option B: If Y lost the match and Jessi did not play, the match could not have been played at the home ground of X.
Option B states that in case Y lost the last match and Jessi did not play, there is no way that match was played at the home ground of X. It is given that X either wins the game or it is a draw when Jessie plays but it is nowhere mentioned that X can not win a match without Jessie on the team. So, this statement can be true.

Option C: If the match was played at the home grounds of Y and Jessi played the match, X did not lose the match.
Option C states that in case the match was played at the home ground of Y and Jessi played that match, X won that match. It is given that no matter the team and the player playing from the opposite side, Y has never lost a match. So, it is possible that the match was a draw and played at the home ground of Y. So, this statement can be true.

Option D: X lost the match but the match was not played at the home ground of Y.
Option D states that X has lost the match but that match was not played at the home ground of Y. X can lose a match at any ground and not on its ground but only if Jessie plays there. So it can be true that X lost the match at its home ground if Jessie did not play or X lost the match on some other ground. So, this statement can be true.

Option E: All of the above can be true.
As all the statements above can be true, Option E is correct.

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